20 citations · 68 across the 18 of their papers we have counts for
29 papers
Optimal Schauder estimates for kinetic Kolmogorov equations with time measurable coefficients
Giacomo Lucertini, Stefano Pagliarani, Andrea Pascucci
We prove global Schauder estimates for kinetic Kolmogorov equations with coefficients that are Hölder continuous in the spatial variables but only measurable in time. Compared to o…
Sobolev embeddings for kinetic Fokker-Planck equations
Andrea Pascucci, Antonello Pesce
We introduce intrinsic Sobolev-Slobodeckij spaces for a class of ultra-parabolic Kolmogorov type operators satisfying the weak Hörmander condition. We prove continuous embeddings i…
Numerical solution of kinetic SPDEs via stochastic Magnus expansion
Kevin Kamm, Stefano Pagliarani, Andrea Pascucci
In this paper, we show how the Itô-stochastic Magnus expansion can be used to efficiently solve stochastic partial differential equations (SPDE) with two space variables numericall…
Strong regularization by noise for kinetic SDEs
Giacomo Lucertini, Stefano Pagliarani, Andrea Pascucci
In this paper we prove strong well-posedness for a system of stochastic differential equations driven by a degenerate diffusion satisfying a weak-type Hörmander condition, assuming…
Optimal regularity for degenerate Kolmogorov equations with rough coefficients
Giacomo Lucertini, Stefano Pagliarani, Andrea Pascucci
We consider a class of degenerate equations satisfying a parabolic Hörmander condition, with coefficients that are measurable in time and Hölder continuous in the space variables.…
A probabilistic result on impulsive noise reduction in Topological Data Analysis through Group Equivariant Non-Expansive Operators
Patrizio Frosini, Ivan Gridelli, Andrea Pascucci
In recent years, group equivariant non-expansive operators (GENEOs) have attracted attention in the fields of Topological Data Analysis and Machine Learning. In this paper we show…